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Lectures on mappings of finite distortion / Stanislav Hencl and Pekka Koskela.

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics ; 2096Publication details: Cham : Springer, 2014.Description: xi, 176 p. : illustrations ; 24 cmISBN:
  • 9783319031729 (pbk. : alk. paper)
Subject(s): DDC classification:
  • 515.9 23 H494
Contents:
1. Introduction -- 2. Continuity -- 3. Openness and discreteness -- 4. Images and preimages of null sets -- 5. Homeomorphisms of finite distortion -- 6. Integrability of Jf and 1/Jf -- 7. Final comments -- Appendix -- References -- Index.
Summary: In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.9 H494 (Browse shelf(Opens below)) Available 136756
Total holds: 0

Includes bibliographical references and index.

1. Introduction --
2. Continuity --
3. Openness and discreteness --
4. Images and preimages of null sets --
5. Homeomorphisms of finite distortion --
6. Integrability of Jf and 1/Jf --
7. Final comments --
Appendix --
References --
Index.

In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects.

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